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Stabilization and destabilization of hybrid systems of stochastic differential equations. (English) Zbl 1111.93082
Summary: This paper aims to determine whether or not a stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid stochastic differential equations are provided. These results are then used to examine stochastic stabilization and destabilization.

93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93E03 Stochastic systems in control theory (general)
93C10 Nonlinear systems in control theory
Full Text: DOI
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